Percentages, Decimals & Fractions

• Why is it important to understand percentages?

  They describe data obtained from research
• What is the formula to find a percentage of a number?

  Percentage = (number ÷ total) × 100
• If a student scored 15 out of 60, what is the percentage score?

  25%
• How do you convert a percentage to a decimal?

  Remove % sign and move decimal left
• What is 45% as a decimal?

  0.45
• How do you convert a decimal to a fraction?

  Count decimal places and divide accordingly
• What fraction corresponds to the decimal 0.25?

  1/4
• How do you reduce the fraction 275/1000?

  Divide both by 25 to get 11/40
• What are the steps to convert a decimal to a fraction?

  • Count the number of decimal places
  • Divide by 100 for two decimal places
  • Divide by 1,000 for three decimal places
  • Simplify if possible
• What are the relationships between percentages, decimals, and fractions?

  • Percentages express a part of 100
  • Decimals represent fractions of 10
  • Fractions show parts of a whole